Answer:
-7/12
Step-by-step explanation:
In order from least to greatest, the numbers and fractions are ...
... -23, -3/4, -2/3, -7/12, -1/2, -5/12, -3/8
There are two fractions greater than -23 and less than -1/2:
... -3/4, -7/12
There is one fraction greater than -2/3 and less than -1/2:
... -7/12
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There are several different ways you can compare these numbers. One is to express them all using a denominator of 24.
... -3/4 = -18/24
... -2/3 = -16/24 . . . . apparently your lower limit of concern
... -7/12 = -14/24
... -1/2 = -12/24 . . . . your upper limit of concern
... -5/12 and -3/8 are obviously greater than -1/2, since the numerator magnitude is less than half the denominator.